1. Kinetics of Particle Lecture 8: Tuesday, 9/15/15 Today’s Objective
Kinetics of rectilinear motion

2. What is Kinetics?
Kinetics is the study of the relations between unbalanced forces and the resulting changes in motion.
Solution Methods for kinetics problems:
(A) direct application of Newton's second law (called the force-mass-acceleration method),
(B) use of work and energy principles, and
(C) solution by impulse and momentum methods

3. What is Mechanics?

4. A. Application of Newton’s Second Law
Newton’s second law equation: F = ma

5. Units

6. Equation of Motion Types of problems: Unconstrained motion
Rectilinear motion
Curvilinear motion

7. Rectilinear Motion
Motion along a straight line

8. Free Body and Inertia Body Diagrams
Problem 3/1 : The 50-kg crate is projected along the floor with an initial speed of 7 m/s at x = 0. The coefficient of kinetic friction is Calculate the time required for the crate to come to rest and the corresponding distance x travelled.

9. Problem 3/35
Given: The nonlinear spring has a tensile force-deflection relationship given by: , where x is in meters and is in newtons. Determine the acceleration of the 6-kg block if it is released from rest at x = 100 mm

10. Kinetics of Particle – Curvilinear Motion
Lecture 9: Thursday, 9/17/15 Today’s Objective Kinetics of Curvilinear motion

11. Kinetics of a Particle Curvilinear Motion:
Normal and Tangential (n-t) coordinates

12. Curvilinear Motion
Curvilinear Motion:
2. Polar (r, 𝜃) coordinates

13. Problem 3/50
The 4-oz slider has a speed v = 3 ft/s as it passes point A of the smooth guide, which lies in a horizontal plane. Determine the magnitude R of the force which the guide exerts on the slider.
Just before it passes point A of the guide
As it passes point B.

14. Problem 3/53
The hollow tube is pivoted about a horizontal axis through point O and is made to rotate in the vertical plane with a constant ccw angular velocity of 3 rad/s. If a 0.2 lb particle is sliding in the tube toward O with a velocity of 4 ft/s relative to the tube when the 𝜃 = 300 is passed, calculate the normal force exerted by the wall of the tube on the particle at this instant.